The relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma _a)$ of a liquid and the coefficient of linear expansion $(\alpha _g)$ of the material of the container is :

Question

$$\begin {array} {1 1} (a)\;\gamma_r= \alpha_g+\gamma_a & \quad (b)\;\gamma_r= \alpha_g+3\gamma_a \\ (c)\;\gamma_r= 3\alpha_g+\gamma_a & \quad (d)\;\gamma_r= 3(\alpha_g+\gamma_a) \end {array}$$

Comments

How please  prove  that